| Inverse Functions | Exponential Functions | Logarithmic Functions and properties |
|---|---|---|
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No
Is x^2 -7 a one to one function?
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x = 1/2
Solve : 9^x = 3
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Log8(512) = 3
Write this in Logarithmic form: 8^3 = 512
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A: Horizontal Line Test. The inverse of a function can be obtained by interchanging the x- and y-values. To do that, each x-value must correspond to only one y-value, and each y-value must correspond to only one x-value, which is the definition of a one-to-one function. Note that if the function either increases or decreases on its entire domain, then it is one-to-one.
How do you know if a function is one to one?
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x=1
5^x-1 = 1
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6561
log_3(X) =8
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3rd root of x+5
What is the inverse of F(x) = x^3 -5
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x=6
Solve: 4^x-2= 256
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sqrt(6)
Solve: Log(_x)6 ^15 = 30
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8+4x/x
What is the inverse of F(x) = 8/x-4
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-3
solve: (3/4)^x = (64/27)
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1+1/2log(7)-log3 -logx
Rewrite using the log properties:
Log_2 (2sqrt7/8x) |
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-4x+3/(2-x) Show calculator trick
What is the inverse of F(x) = 2x-3/x-4
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x=-12
(1/81)^(4-x) = 3^(5x-4)
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logx+2logy -5logz
Rewrite using log properties:
Log xy^2/z^5 |
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